on the off chance

In case somehow

On the off chance means in case something unlikely happens—acknowledging low probability while still preparing for it: I brought an umbrella on the off chance it rains.

The phrase hedges expectations: you're not betting on the outcome, just covering the possibility.

I called on the off chance she might be home.

hopeful

wishful thinking

Belief shaped by desire

aspiration · yearning · dreaming · faith · bright side · silver lining · what if · maybe · perhaps · possibly

improbability

longshot

Unlikely to succeed

improbable · against the odds · dark horse · wild card · fluke · miracle · freak occurrence · rare · exceptional · extraordinary

speculative

conjecture

Guess from limited facts

assumption · hunch · intuition · gut feeling · speculation · theory · shot in the dark · stab in the dark · educated guess · gamble

contingency

just in case

For possible need

hedge · fallback · plan B · insurance · provision · safeguard · preparation · eventuality · scenario · in the event

tentative

hesitant

Slow to act

guarded · noncommittal · cautious · hedging · qualified · provisional · skeptical · unsure · wavering · ambivalent

Opposites
probability/expectation

on the off chancecounting on

Trusting to come through

banking on · expecting · anticipating · presuming · optimistically

certainty of outcome

on the off chanceguaranteed

Promised with certainty

inevitably · without a doubt · for certain · undoubtedly · assuredly

Family

chance, chances, chanced, chancing, chancy

Familiarity
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Known to kids · Used worldwide · Timeless · Abstract · Everyday, not technical · Rated G